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Finding the Fourth Proportional to 102,534.78, 141,497.82 and 57,210

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Solution

The fourth proportional to 102,534.78, 141,497.82 and 57,210 is: 78,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534.78 : 141,497.82 = 57,210 : x
  2. Step 2: Convert to fraction form
    102,534.78/141,497.82 = 57,210/x
  3. Step 3: Cross multiply
    102,534.78x = 141,497.82 × 57,210
  4. Step 4: Simplify right side
    102,534.78x = 8,095,090,282.20
  5. Step 5: Solve for x
    x = 8,095,090,282.20/102,534.78
  6. Step 6: Final answer
    x = 78,949.70

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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.