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Finding the Fourth Proportional to 78,407.12, 108,201.93 and 42,597.16

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Solution

The fourth proportional to 78,407.12, 108,201.93 and 42,597.16 is: 58,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.12 : 108,201.93 = 42,597.16 : x
  2. Step 2: Convert to fraction form
    78,407.12/108,201.93 = 42,597.16/x
  3. Step 3: Cross multiply
    78,407.12x = 108,201.93 × 42,597.16
  4. Step 4: Simplify right side
    78,407.12x = 4,609,094,924.52
  5. Step 5: Solve for x
    x = 4,609,094,924.52/78,407.12
  6. Step 6: Final answer
    x = 58,784.14

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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.