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Finding the Fourth Proportional to 103,549.64, 142,946.64 and 78,066.36

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Solution

The fourth proportional to 103,549.64, 142,946.64 and 78,066.36 is: 107,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,549.64 : 142,946.64 = 78,066.36 : x
  2. Step 2: Convert to fraction form
    103,549.64/142,946.64 = 78,066.36/x
  3. Step 3: Cross multiply
    103,549.64x = 142,946.64 × 78,066.36
  4. Step 4: Simplify right side
    103,549.64x = 11,159,323,859.03
  5. Step 5: Solve for x
    x = 11,159,323,859.03/103,549.64
  6. Step 6: Final answer
    x = 107,767.87

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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.