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Finding the Fourth Proportional to 105,458.74, 145,532.50 and 57,711.98

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Solution

The fourth proportional to 105,458.74, 145,532.50 and 57,711.98 is: 79,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,458.74 : 145,532.50 = 57,711.98 : x
  2. Step 2: Convert to fraction form
    105,458.74/145,532.50 = 57,711.98/x
  3. Step 3: Cross multiply
    105,458.74x = 145,532.50 × 57,711.98
  4. Step 4: Simplify right side
    105,458.74x = 8,398,968,130.28
  5. Step 5: Solve for x
    x = 8,398,968,130.28/105,458.74
  6. Step 6: Final answer
    x = 79,642.22

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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.