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Finding the Fourth Proportional to 70,864, 97,792.32 and 39,032.80

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Solution

The fourth proportional to 70,864, 97,792.32 and 39,032.80 is: 53,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,864 : 97,792.32 = 39,032.80 : x
  2. Step 2: Convert to fraction form
    70,864/97,792.32 = 39,032.80/x
  3. Step 3: Cross multiply
    70,864x = 97,792.32 × 39,032.80
  4. Step 4: Simplify right side
    70,864x = 3,817,108,068.10
  5. Step 5: Solve for x
    x = 3,817,108,068.10/70,864
  6. Step 6: Final answer
    x = 53,865.26

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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.