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Finding the Fourth Proportional to 65,705.16, 90,686.32 and 42,702.78

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Solution

The fourth proportional to 65,705.16, 90,686.32 and 42,702.78 is: 58,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,705.16 : 90,686.32 = 42,702.78 : x
  2. Step 2: Convert to fraction form
    65,705.16/90,686.32 = 42,702.78/x
  3. Step 3: Cross multiply
    65,705.16x = 90,686.32 × 42,702.78
  4. Step 4: Simplify right side
    65,705.16x = 3,872,557,971.97
  5. Step 5: Solve for x
    x = 3,872,557,971.97/65,705.16
  6. Step 6: Final answer
    x = 58,938.41

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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.