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Finding the Fourth Proportional to 78,058.61, 107,723.50 and 47,838.10

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Solution

The fourth proportional to 78,058.61, 107,723.50 and 47,838.10 is: 66,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058.61 : 107,723.50 = 47,838.10 : x
  2. Step 2: Convert to fraction form
    78,058.61/107,723.50 = 47,838.10/x
  3. Step 3: Cross multiply
    78,058.61x = 107,723.50 × 47,838.10
  4. Step 4: Simplify right side
    78,058.61x = 5,153,287,565.35
  5. Step 5: Solve for x
    x = 5,153,287,565.35/78,058.61
  6. Step 6: Final answer
    x = 66,018.18

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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.