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Finding the Fourth Proportional to 105,638.72, 145,780.26 and 57,239.72

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Solution

The fourth proportional to 105,638.72, 145,780.26 and 57,239.72 is: 78,990.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,638.72 : 145,780.26 = 57,239.72 : x
  2. Step 2: Convert to fraction form
    105,638.72/145,780.26 = 57,239.72/x
  3. Step 3: Cross multiply
    105,638.72x = 145,780.26 × 57,239.72
  4. Step 4: Simplify right side
    105,638.72x = 8,344,421,263.93
  5. Step 5: Solve for x
    x = 8,344,421,263.93/105,638.72
  6. Step 6: Final answer
    x = 78,990.18

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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.