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Finding the Fourth Proportional to 102,774.78, 141,852.06 and 62,480

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Solution

The fourth proportional to 102,774.78, 141,852.06 and 62,480 is: 86,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,774.78 : 141,852.06 = 62,480 : x
  2. Step 2: Convert to fraction form
    102,774.78/141,852.06 = 62,480/x
  3. Step 3: Cross multiply
    102,774.78x = 141,852.06 × 62,480
  4. Step 4: Simplify right side
    102,774.78x = 8,862,916,708.80
  5. Step 5: Solve for x
    x = 8,862,916,708.80/102,774.78
  6. Step 6: Final answer
    x = 86,236.30

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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.