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Finding the Fourth Proportional to 102,564.60, 153,846.90 and 72,497.40

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Solution

The fourth proportional to 102,564.60, 153,846.90 and 72,497.40 is: 108,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.60 : 153,846.90 = 72,497.40 : x
  2. Step 2: Convert to fraction form
    102,564.60/153,846.90 = 72,497.40/x
  3. Step 3: Cross multiply
    102,564.60x = 153,846.90 × 72,497.40
  4. Step 4: Simplify right side
    102,564.60x = 11,153,500,248.06
  5. Step 5: Solve for x
    x = 11,153,500,248.06/102,564.60
  6. Step 6: Final answer
    x = 108,746.10

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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.