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Finding the Fourth Proportional to 102,468.24, 152,934.48 and 89,987.76

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Solution

The fourth proportional to 102,468.24, 152,934.48 and 89,987.76 is: 134,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,468.24 : 152,934.48 = 89,987.76 : x
  2. Step 2: Convert to fraction form
    102,468.24/152,934.48 = 89,987.76/x
  3. Step 3: Cross multiply
    102,468.24x = 152,934.48 × 89,987.76
  4. Step 4: Simplify right side
    102,468.24x = 13,762,231,281.96
  5. Step 5: Solve for x
    x = 13,762,231,281.96/102,468.24
  6. Step 6: Final answer
    x = 134,307.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.