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Finding the Fourth Proportional to 70,657.12, 97,509 and 38,827

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Solution

The fourth proportional to 70,657.12, 97,509 and 38,827 is: 53,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.12 : 97,509 = 38,827 : x
  2. Step 2: Convert to fraction form
    70,657.12/97,509 = 38,827/x
  3. Step 3: Cross multiply
    70,657.12x = 97,509 × 38,827
  4. Step 4: Simplify right side
    70,657.12x = 3,785,981,943
  5. Step 5: Solve for x
    x = 3,785,981,943/70,657.12
  6. Step 6: Final answer
    x = 53,582.45

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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.