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Finding the Fourth Proportional to 206,831.04, 310,296.42 and 71,875.50

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Solution

The fourth proportional to 206,831.04, 310,296.42 and 71,875.50 is: 107,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,831.04 : 310,296.42 = 71,875.50 : x
  2. Step 2: Convert to fraction form
    206,831.04/310,296.42 = 71,875.50/x
  3. Step 3: Cross multiply
    206,831.04x = 310,296.42 × 71,875.50
  4. Step 4: Simplify right side
    206,831.04x = 22,302,710,335.71
  5. Step 5: Solve for x
    x = 22,302,710,335.71/206,831.04
  6. Step 6: Final answer
    x = 107,830.58

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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.