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Finding the Fourth Proportional to 78,305.15, 108,061.17 and 42,495.16

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Solution

The fourth proportional to 78,305.15, 108,061.17 and 42,495.16 is: 58,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,305.15 : 108,061.17 = 42,495.16 : x
  2. Step 2: Convert to fraction form
    78,305.15/108,061.17 = 42,495.16/x
  3. Step 3: Cross multiply
    78,305.15x = 108,061.17 × 42,495.16
  4. Step 4: Simplify right side
    78,305.15x = 4,592,076,168.63
  5. Step 5: Solve for x
    x = 4,592,076,168.63/78,305.15
  6. Step 6: Final answer
    x = 58,643.35

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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.