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Finding the Fourth Proportional to 78,140.06, 107,833.79 and 42,330.06

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Solution

The fourth proportional to 78,140.06, 107,833.79 and 42,330.06 is: 58,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140.06 : 107,833.79 = 42,330.06 : x
  2. Step 2: Convert to fraction form
    78,140.06/107,833.79 = 42,330.06/x
  3. Step 3: Cross multiply
    78,140.06x = 107,833.79 × 42,330.06
  4. Step 4: Simplify right side
    78,140.06x = 4,564,610,800.73
  5. Step 5: Solve for x
    x = 4,564,610,800.73/78,140.06
  6. Step 6: Final answer
    x = 58,415.76

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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.