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Finding the Fourth Proportional to 51,888.64, 71,608.08 and 30,686.08

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Solution

The fourth proportional to 51,888.64, 71,608.08 and 30,686.08 is: 42,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,888.64 : 71,608.08 = 30,686.08 : x
  2. Step 2: Convert to fraction form
    51,888.64/71,608.08 = 30,686.08/x
  3. Step 3: Cross multiply
    51,888.64x = 71,608.08 × 30,686.08
  4. Step 4: Simplify right side
    51,888.64x = 2,197,371,271.53
  5. Step 5: Solve for x
    x = 2,197,371,271.53/51,888.64
  6. Step 6: Final answer
    x = 42,347.83

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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.