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Finding the Fourth Proportional to 134,064, 185,008.32 and 74,448

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Solution

The fourth proportional to 134,064, 185,008.32 and 74,448 is: 102,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,064 : 185,008.32 = 74,448 : x
  2. Step 2: Convert to fraction form
    134,064/185,008.32 = 74,448/x
  3. Step 3: Cross multiply
    134,064x = 185,008.32 × 74,448
  4. Step 4: Simplify right side
    134,064x = 13,773,499,407.36
  5. Step 5: Solve for x
    x = 13,773,499,407.36/134,064
  6. Step 6: Final answer
    x = 102,738.24

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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.