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Finding the Fourth Proportional to 145,492.16, 218,247.47 and 45,656.30

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Solution

The fourth proportional to 145,492.16, 218,247.47 and 45,656.30 is: 68,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492.16 : 218,247.47 = 45,656.30 : x
  2. Step 2: Convert to fraction form
    145,492.16/218,247.47 = 45,656.30/x
  3. Step 3: Cross multiply
    145,492.16x = 218,247.47 × 45,656.30
  4. Step 4: Simplify right side
    145,492.16x = 9,964,370,816.25
  5. Step 5: Solve for x
    x = 9,964,370,816.25/145,492.16
  6. Step 6: Final answer
    x = 68,487.34

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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.