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Finding the Fourth Proportional to 78,156.65, 107,856.02 and 42,347.63

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Solution

The fourth proportional to 78,156.65, 107,856.02 and 42,347.63 is: 58,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.65 : 107,856.02 = 42,347.63 : x
  2. Step 2: Convert to fraction form
    78,156.65/107,856.02 = 42,347.63/x
  3. Step 3: Cross multiply
    78,156.65x = 107,856.02 × 42,347.63
  4. Step 4: Simplify right side
    78,156.65x = 4,567,446,828.23
  5. Step 5: Solve for x
    x = 4,567,446,828.23/78,156.65
  6. Step 6: Final answer
    x = 58,439.64

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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.