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Finding the Fourth Proportional to 219,129.04, 328,545.24 and 85,926.16

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Solution

The fourth proportional to 219,129.04, 328,545.24 and 85,926.16 is: 128,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,129.04 : 328,545.24 = 85,926.16 : x
  2. Step 2: Convert to fraction form
    219,129.04/328,545.24 = 85,926.16/x
  3. Step 3: Cross multiply
    219,129.04x = 328,545.24 × 85,926.16
  4. Step 4: Simplify right side
    219,129.04x = 28,230,630,859.48
  5. Step 5: Solve for x
    x = 28,230,630,859.48/219,129.04
  6. Step 6: Final answer
    x = 128,831.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.