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Finding the Fourth Proportional to 125,140.63, 187,627.53 and 65,021.36

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Solution

The fourth proportional to 125,140.63, 187,627.53 and 65,021.36 is: 97,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,140.63 : 187,627.53 = 65,021.36 : x
  2. Step 2: Convert to fraction form
    125,140.63/187,627.53 = 65,021.36/x
  3. Step 3: Cross multiply
    125,140.63x = 187,627.53 × 65,021.36
  4. Step 4: Simplify right side
    125,140.63x = 12,199,797,643.11
  5. Step 5: Solve for x
    x = 12,199,797,643.11/125,140.63
  6. Step 6: Final answer
    x = 97,488.70

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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.