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Finding the Fourth Proportional to 42,972, 59,307.84 and 26,214.72

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Solution

The fourth proportional to 42,972, 59,307.84 and 26,214.72 is: 36,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,972 : 59,307.84 = 26,214.72 : x
  2. Step 2: Convert to fraction form
    42,972/59,307.84 = 26,214.72/x
  3. Step 3: Cross multiply
    42,972x = 59,307.84 × 26,214.72
  4. Step 4: Simplify right side
    42,972x = 1,554,738,419.40
  5. Step 5: Solve for x
    x = 1,554,738,419.40/42,972
  6. Step 6: Final answer
    x = 36,180.27

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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.