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Finding the Fourth Proportional to 128,941.47, 193,454.24 and 64,866.56

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Solution

The fourth proportional to 128,941.47, 193,454.24 and 64,866.56 is: 97,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,941.47 : 193,454.24 = 64,866.56 : x
  2. Step 2: Convert to fraction form
    128,941.47/193,454.24 = 64,866.56/x
  3. Step 3: Cross multiply
    128,941.47x = 193,454.24 × 64,866.56
  4. Step 4: Simplify right side
    128,941.47x = 12,548,710,139.48
  5. Step 5: Solve for x
    x = 12,548,710,139.48/128,941.47
  6. Step 6: Final answer
    x = 97,320.98

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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.