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Finding the Fourth Proportional to 78,149.94, 107,840.54 and 45,881.16

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Solution

The fourth proportional to 78,149.94, 107,840.54 and 45,881.16 is: 63,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.94 : 107,840.54 = 45,881.16 : x
  2. Step 2: Convert to fraction form
    78,149.94/107,840.54 = 45,881.16/x
  3. Step 3: Cross multiply
    78,149.94x = 107,840.54 × 45,881.16
  4. Step 4: Simplify right side
    78,149.94x = 4,947,849,070.23
  5. Step 5: Solve for x
    x = 4,947,849,070.23/78,149.94
  6. Step 6: Final answer
    x = 63,312.26

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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.