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Finding the Fourth Proportional to 106,419.60, 146,953.98 and 101,378.16

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Solution

The fourth proportional to 106,419.60, 146,953.98 and 101,378.16 is: 139,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.60 : 146,953.98 = 101,378.16 : x
  2. Step 2: Convert to fraction form
    106,419.60/146,953.98 = 101,378.16/x
  3. Step 3: Cross multiply
    106,419.60x = 146,953.98 × 101,378.16
  4. Step 4: Simplify right side
    106,419.60x = 14,897,924,097.08
  5. Step 5: Solve for x
    x = 14,897,924,097.08/106,419.60
  6. Step 6: Final answer
    x = 139,992.30

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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.