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Finding the Fourth Proportional to 78,159.84, 107,860.20 and 42,349.84

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Solution

The fourth proportional to 78,159.84, 107,860.20 and 42,349.84 is: 58,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159.84 : 107,860.20 = 42,349.84 : x
  2. Step 2: Convert to fraction form
    78,159.84/107,860.20 = 42,349.84/x
  3. Step 3: Cross multiply
    78,159.84x = 107,860.20 × 42,349.84
  4. Step 4: Simplify right side
    78,159.84x = 4,567,862,212.37
  5. Step 5: Solve for x
    x = 4,567,862,212.37/78,159.84
  6. Step 6: Final answer
    x = 58,442.57

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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.