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Finding the Fourth Proportional to 65,272.68, 97,686.54 and 45,288.90

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Solution

The fourth proportional to 65,272.68, 97,686.54 and 45,288.90 is: 67,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272.68 : 97,686.54 = 45,288.90 : x
  2. Step 2: Convert to fraction form
    65,272.68/97,686.54 = 45,288.90/x
  3. Step 3: Cross multiply
    65,272.68x = 97,686.54 × 45,288.90
  4. Step 4: Simplify right side
    65,272.68x = 4,424,115,941.41
  5. Step 5: Solve for x
    x = 4,424,115,941.41/65,272.68
  6. Step 6: Final answer
    x = 67,778.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.