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Finding the Fourth Proportional to 140,535, 210,831.66 and 57,429

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Solution

The fourth proportional to 140,535, 210,831.66 and 57,429 is: 86,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,535 : 210,831.66 = 57,429 : x
  2. Step 2: Convert to fraction form
    140,535/210,831.66 = 57,429/x
  3. Step 3: Cross multiply
    140,535x = 210,831.66 × 57,429
  4. Step 4: Simplify right side
    140,535x = 12,107,851,402.14
  5. Step 5: Solve for x
    x = 12,107,851,402.14/140,535
  6. Step 6: Final answer
    x = 86,155.42

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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.