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Finding the Fourth Proportional to 159,031.40, 219,459.65 and 86,432.58

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Solution

The fourth proportional to 159,031.40, 219,459.65 and 86,432.58 is: 119,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,031.40 : 219,459.65 = 86,432.58 : x
  2. Step 2: Convert to fraction form
    159,031.40/219,459.65 = 86,432.58/x
  3. Step 3: Cross multiply
    159,031.40x = 219,459.65 × 86,432.58
  4. Step 4: Simplify right side
    159,031.40x = 18,968,463,323.23
  5. Step 5: Solve for x
    x = 18,968,463,323.23/159,031.40
  6. Step 6: Final answer
    x = 119,274.96

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1.5x scale

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.