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Finding the Fourth Proportional to 65,897.88, 90,978.32 and 40,781.40

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Solution

The fourth proportional to 65,897.88, 90,978.32 and 40,781.40 is: 56,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.88 : 90,978.32 = 40,781.40 : x
  2. Step 2: Convert to fraction form
    65,897.88/90,978.32 = 40,781.40/x
  3. Step 3: Cross multiply
    65,897.88x = 90,978.32 × 40,781.40
  4. Step 4: Simplify right side
    65,897.88x = 3,710,223,259.25
  5. Step 5: Solve for x
    x = 3,710,223,259.25/65,897.88
  6. Step 6: Final answer
    x = 56,302.62

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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.