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Finding the Fourth Proportional to 102,478, 141,419.64 and 55,374

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Solution

The fourth proportional to 102,478, 141,419.64 and 55,374 is: 76,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,478 : 141,419.64 = 55,374 : x
  2. Step 2: Convert to fraction form
    102,478/141,419.64 = 55,374/x
  3. Step 3: Cross multiply
    102,478x = 141,419.64 × 55,374
  4. Step 4: Simplify right side
    102,478x = 7,830,971,145.36
  5. Step 5: Solve for x
    x = 7,830,971,145.36/102,478
  6. Step 6: Final answer
    x = 76,416.12

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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.