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Finding the Fourth Proportional to 127,418, 175,828.52 and 70,827.28

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Solution

The fourth proportional to 127,418, 175,828.52 and 70,827.28 is: 97,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,418 : 175,828.52 = 70,827.28 : x
  2. Step 2: Convert to fraction form
    127,418/175,828.52 = 70,827.28/x
  3. Step 3: Cross multiply
    127,418x = 175,828.52 × 70,827.28
  4. Step 4: Simplify right side
    127,418x = 12,453,455,818.03
  5. Step 5: Solve for x
    x = 12,453,455,818.03/127,418
  6. Step 6: Final answer
    x = 97,737.02

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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.