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Finding the Fourth Proportional to 145,395.56, 217,686.72 and 78,596

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Solution

The fourth proportional to 145,395.56, 217,686.72 and 78,596 is: 117,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,395.56 : 217,686.72 = 78,596 : x
  2. Step 2: Convert to fraction form
    145,395.56/217,686.72 = 78,596/x
  3. Step 3: Cross multiply
    145,395.56x = 217,686.72 × 78,596
  4. Step 4: Simplify right side
    145,395.56x = 17,109,305,445.12
  5. Step 5: Solve for x
    x = 17,109,305,445.12/145,395.56
  6. Step 6: Final answer
    x = 117,674.19

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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.