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Finding the Fourth Proportional to 78,894,643.60, 118,285,978.20 and 30,353,741.20

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Solution

The fourth proportional to 78,894,643.60, 118,285,978.20 and 30,353,741.20 is: 45,509,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894,643.60 : 118,285,978.20 = 30,353,741.20 : x
  2. Step 2: Convert to fraction form
    78,894,643.60/118,285,978.20 = 30,353,741.20/x
  3. Step 3: Cross multiply
    78,894,643.60x = 118,285,978.20 × 30,353,741.20
  4. Step 4: Simplify right side
    78,894,643.60x = 3,590,421,969,871,642
  5. Step 5: Solve for x
    x = 3,590,421,969,871,642/78,894,643.60
  6. Step 6: Final answer
    x = 45,509,071.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.