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Finding the Fourth Proportional to 98,225.64, 147,412.62 and 78,739.50

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Solution

The fourth proportional to 98,225.64, 147,412.62 and 78,739.50 is: 118,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,225.64 : 147,412.62 = 78,739.50 : x
  2. Step 2: Convert to fraction form
    98,225.64/147,412.62 = 78,739.50/x
  3. Step 3: Cross multiply
    98,225.64x = 147,412.62 × 78,739.50
  4. Step 4: Simplify right side
    98,225.64x = 11,607,195,992.49
  5. Step 5: Solve for x
    x = 11,607,195,992.49/98,225.64
  6. Step 6: Final answer
    x = 118,168.70

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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.