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Finding the Fourth Proportional to 138,159.14, 190,642.47 and 87,152.54

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Solution

The fourth proportional to 138,159.14, 190,642.47 and 87,152.54 is: 120,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,159.14 : 190,642.47 = 87,152.54 : x
  2. Step 2: Convert to fraction form
    138,159.14/190,642.47 = 87,152.54/x
  3. Step 3: Cross multiply
    138,159.14x = 190,642.47 × 87,152.54
  4. Step 4: Simplify right side
    138,159.14x = 16,614,975,492.37
  5. Step 5: Solve for x
    x = 16,614,975,492.37/138,159.14
  6. Step 6: Final answer
    x = 120,259.69

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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.