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Finding the Fourth Proportional to 75,045, 103,386.78 and 52,343.52

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Solution

The fourth proportional to 75,045, 103,386.78 and 52,343.52 is: 72,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,045 : 103,386.78 = 52,343.52 : x
  2. Step 2: Convert to fraction form
    75,045/103,386.78 = 52,343.52/x
  3. Step 3: Cross multiply
    75,045x = 103,386.78 × 52,343.52
  4. Step 4: Simplify right side
    75,045x = 5,411,627,986.67
  5. Step 5: Solve for x
    x = 5,411,627,986.67/75,045
  6. Step 6: Final answer
    x = 72,111.77

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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.