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Finding the Fourth Proportional to 70,292.43, 105,426.90 and 30,838.95

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Solution

The fourth proportional to 70,292.43, 105,426.90 and 30,838.95 is: 46,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,292.43 : 105,426.90 = 30,838.95 : x
  2. Step 2: Convert to fraction form
    70,292.43/105,426.90 = 30,838.95/x
  3. Step 3: Cross multiply
    70,292.43x = 105,426.90 × 30,838.95
  4. Step 4: Simplify right side
    70,292.43x = 3,251,254,897.76
  5. Step 5: Solve for x
    x = 3,251,254,897.76/70,292.43
  6. Step 6: Final answer
    x = 46,253.27

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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.