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Finding the Fourth Proportional to 53,128.64, 79,726.64 and 48,141.20

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Solution

The fourth proportional to 53,128.64, 79,726.64 and 48,141.20 is: 72,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,128.64 : 79,726.64 = 48,141.20 : x
  2. Step 2: Convert to fraction form
    53,128.64/79,726.64 = 48,141.20/x
  3. Step 3: Cross multiply
    53,128.64x = 79,726.64 × 48,141.20
  4. Step 4: Simplify right side
    53,128.64x = 3,838,136,121.57
  5. Step 5: Solve for x
    x = 3,838,136,121.57/53,128.64
  6. Step 6: Final answer
    x = 72,242.32

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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.