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Finding the Fourth Proportional to 105,489.66, 145,575.95 and 57,746.06

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Solution

The fourth proportional to 105,489.66, 145,575.95 and 57,746.06 is: 79,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,489.66 : 145,575.95 = 57,746.06 : x
  2. Step 2: Convert to fraction form
    105,489.66/145,575.95 = 57,746.06/x
  3. Step 3: Cross multiply
    105,489.66x = 145,575.95 × 57,746.06
  4. Step 4: Simplify right side
    105,489.66x = 8,406,437,543.26
  5. Step 5: Solve for x
    x = 8,406,437,543.26/105,489.66
  6. Step 6: Final answer
    x = 79,689.68

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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.