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Finding the Fourth Proportional to 72,417.64, 99,950.36 and 47,223.40

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Solution

The fourth proportional to 72,417.64, 99,950.36 and 47,223.40 is: 65,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,417.64 : 99,950.36 = 47,223.40 : x
  2. Step 2: Convert to fraction form
    72,417.64/99,950.36 = 47,223.40/x
  3. Step 3: Cross multiply
    72,417.64x = 99,950.36 × 47,223.40
  4. Step 4: Simplify right side
    72,417.64x = 4,719,995,830.42
  5. Step 5: Solve for x
    x = 4,719,995,830.42/72,417.64
  6. Step 6: Final answer
    x = 65,177.43

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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.