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Finding the Fourth Proportional to 102,378.69, 152,767.12 and 91,740.38

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Solution

The fourth proportional to 102,378.69, 152,767.12 and 91,740.38 is: 136,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,378.69 : 152,767.12 = 91,740.38 : x
  2. Step 2: Convert to fraction form
    102,378.69/152,767.12 = 91,740.38/x
  3. Step 3: Cross multiply
    102,378.69x = 152,767.12 × 91,740.38
  4. Step 4: Simplify right side
    102,378.69x = 14,014,913,506.81
  5. Step 5: Solve for x
    x = 14,014,913,506.81/102,378.69
  6. Step 6: Final answer
    x = 136,892.88

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1.5x scale

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.