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Finding the Fourth Proportional to 138,752.63, 191,319.01 and 102,506.52

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Solution

The fourth proportional to 138,752.63, 191,319.01 and 102,506.52 is: 141,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.63 : 191,319.01 = 102,506.52 : x
  2. Step 2: Convert to fraction form
    138,752.63/191,319.01 = 102,506.52/x
  3. Step 3: Cross multiply
    138,752.63x = 191,319.01 × 102,506.52
  4. Step 4: Simplify right side
    138,752.63x = 19,611,445,924.95
  5. Step 5: Solve for x
    x = 19,611,445,924.95/138,752.63
  6. Step 6: Final answer
    x = 141,341.08

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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.