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Finding the Fourth Proportional to 78,184.13, 107,894.29 and 42,374.13

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Solution

The fourth proportional to 78,184.13, 107,894.29 and 42,374.13 is: 58,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,184.13 : 107,894.29 = 42,374.13 : x
  2. Step 2: Convert to fraction form
    78,184.13/107,894.29 = 42,374.13/x
  3. Step 3: Cross multiply
    78,184.13x = 107,894.29 × 42,374.13
  4. Step 4: Simplify right side
    78,184.13x = 4,571,926,670.72
  5. Step 5: Solve for x
    x = 4,571,926,670.72/78,184.13
  6. Step 6: Final answer
    x = 58,476.40

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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.