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Finding the Fourth Proportional to 42,988.61, 64,471.98 and 16,679

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Solution

The fourth proportional to 42,988.61, 64,471.98 and 16,679 is: 25,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,988.61 : 64,471.98 = 16,679 : x
  2. Step 2: Convert to fraction form
    42,988.61/64,471.98 = 16,679/x
  3. Step 3: Cross multiply
    42,988.61x = 64,471.98 × 16,679
  4. Step 4: Simplify right side
    42,988.61x = 1,075,328,154.42
  5. Step 5: Solve for x
    x = 1,075,328,154.42/42,988.61
  6. Step 6: Final answer
    x = 25,014.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.