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Finding the Fourth Proportional to 78,210.75, 107,931.60 and 42,400.68

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Solution

The fourth proportional to 78,210.75, 107,931.60 and 42,400.68 is: 58,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.75 : 107,931.60 = 42,400.68 : x
  2. Step 2: Convert to fraction form
    78,210.75/107,931.60 = 42,400.68/x
  3. Step 3: Cross multiply
    78,210.75x = 107,931.60 × 42,400.68
  4. Step 4: Simplify right side
    78,210.75x = 4,576,373,233.49
  5. Step 5: Solve for x
    x = 4,576,373,233.49/78,210.75
  6. Step 6: Final answer
    x = 58,513.35

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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.