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Finding the Fourth Proportional to 70,531.36, 97,336.08 and 38,701.40

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Solution

The fourth proportional to 70,531.36, 97,336.08 and 38,701.40 is: 53,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531.36 : 97,336.08 = 38,701.40 : x
  2. Step 2: Convert to fraction form
    70,531.36/97,336.08 = 38,701.40/x
  3. Step 3: Cross multiply
    70,531.36x = 97,336.08 × 38,701.40
  4. Step 4: Simplify right side
    70,531.36x = 3,767,042,079.83
  5. Step 5: Solve for x
    x = 3,767,042,079.83/70,531.36
  6. Step 6: Final answer
    x = 53,409.47

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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.