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Finding the Fourth Proportional to 102,155.76, 152,916.84 and 55,292.40

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Solution

The fourth proportional to 102,155.76, 152,916.84 and 55,292.40 is: 82,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,155.76 : 152,916.84 = 55,292.40 : x
  2. Step 2: Convert to fraction form
    102,155.76/152,916.84 = 55,292.40/x
  3. Step 3: Cross multiply
    102,155.76x = 152,916.84 × 55,292.40
  4. Step 4: Simplify right side
    102,155.76x = 8,455,139,084.02
  5. Step 5: Solve for x
    x = 8,455,139,084.02/102,155.76
  6. Step 6: Final answer
    x = 82,767.13

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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.