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Finding the Fourth Proportional to 78,208.18, 107,927.84 and 42,398.76

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Solution

The fourth proportional to 78,208.18, 107,927.84 and 42,398.76 is: 58,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.18 : 107,927.84 = 42,398.76 : x
  2. Step 2: Convert to fraction form
    78,208.18/107,927.84 = 42,398.76/x
  3. Step 3: Cross multiply
    78,208.18x = 107,927.84 × 42,398.76
  4. Step 4: Simplify right side
    78,208.18x = 4,576,006,585.48
  5. Step 5: Solve for x
    x = 4,576,006,585.48/78,208.18
  6. Step 6: Final answer
    x = 58,510.59

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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.