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Finding the Fourth Proportional to 105,487.69, 145,573.17 and 57,744.06

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Solution

The fourth proportional to 105,487.69, 145,573.17 and 57,744.06 is: 79,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,487.69 : 145,573.17 = 57,744.06 : x
  2. Step 2: Convert to fraction form
    105,487.69/145,573.17 = 57,744.06/x
  3. Step 3: Cross multiply
    105,487.69x = 145,573.17 × 57,744.06
  4. Step 4: Simplify right side
    105,487.69x = 8,405,985,862.87
  5. Step 5: Solve for x
    x = 8,405,985,862.87/105,487.69
  6. Step 6: Final answer
    x = 79,686.89

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1.5x scale

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.