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Finding the Fourth Proportional to 76,428, 105,470.64 and 42,894

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Solution

The fourth proportional to 76,428, 105,470.64 and 42,894 is: 59,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428 : 105,470.64 = 42,894 : x
  2. Step 2: Convert to fraction form
    76,428/105,470.64 = 42,894/x
  3. Step 3: Cross multiply
    76,428x = 105,470.64 × 42,894
  4. Step 4: Simplify right side
    76,428x = 4,524,057,632.16
  5. Step 5: Solve for x
    x = 4,524,057,632.16/76,428
  6. Step 6: Final answer
    x = 59,193.72

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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.