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Finding the Fourth Proportional to 102,802.66, 141,864.84 and 57,480.74

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Solution

The fourth proportional to 102,802.66, 141,864.84 and 57,480.74 is: 79,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802.66 : 141,864.84 = 57,480.74 : x
  2. Step 2: Convert to fraction form
    102,802.66/141,864.84 = 57,480.74/x
  3. Step 3: Cross multiply
    102,802.66x = 141,864.84 × 57,480.74
  4. Step 4: Simplify right side
    102,802.66x = 8,154,495,983.18
  5. Step 5: Solve for x
    x = 8,154,495,983.18/102,802.66
  6. Step 6: Final answer
    x = 79,321.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.