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Finding the Fourth Proportional to 70,117.40, 96,758.40 and 38,280.16

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Solution

The fourth proportional to 70,117.40, 96,758.40 and 38,280.16 is: 52,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,117.40 : 96,758.40 = 38,280.16 : x
  2. Step 2: Convert to fraction form
    70,117.40/96,758.40 = 38,280.16/x
  3. Step 3: Cross multiply
    70,117.40x = 96,758.40 × 38,280.16
  4. Step 4: Simplify right side
    70,117.40x = 3,703,927,033.34
  5. Step 5: Solve for x
    x = 3,703,927,033.34/70,117.40
  6. Step 6: Final answer
    x = 52,824.65

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1.5x scale

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.