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Finding the Fourth Proportional to 98,009.20, 146,862.60 and 72,931.60

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Solution

The fourth proportional to 98,009.20, 146,862.60 and 72,931.60 is: 109,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,009.20 : 146,862.60 = 72,931.60 : x
  2. Step 2: Convert to fraction form
    98,009.20/146,862.60 = 72,931.60/x
  3. Step 3: Cross multiply
    98,009.20x = 146,862.60 × 72,931.60
  4. Step 4: Simplify right side
    98,009.20x = 10,710,924,398.16
  5. Step 5: Solve for x
    x = 10,710,924,398.16/98,009.20
  6. Step 6: Final answer
    x = 109,284.89

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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.