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Finding the Fourth Proportional to 166,306.64, 249,285.72 and 77,486.90

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Solution

The fourth proportional to 166,306.64, 249,285.72 and 77,486.90 is: 116,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,306.64 : 249,285.72 = 77,486.90 : x
  2. Step 2: Convert to fraction form
    166,306.64/249,285.72 = 77,486.90/x
  3. Step 3: Cross multiply
    166,306.64x = 249,285.72 × 77,486.90
  4. Step 4: Simplify right side
    166,306.64x = 19,316,377,657.07
  5. Step 5: Solve for x
    x = 19,316,377,657.07/166,306.64
  6. Step 6: Final answer
    x = 116,149.17

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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.