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Finding the Fourth Proportional to 51,658.16, 77,516.76 and 42,998

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Solution

The fourth proportional to 51,658.16, 77,516.76 and 42,998 is: 64,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,658.16 : 77,516.76 = 42,998 : x
  2. Step 2: Convert to fraction form
    51,658.16/77,516.76 = 42,998/x
  3. Step 3: Cross multiply
    51,658.16x = 77,516.76 × 42,998
  4. Step 4: Simplify right side
    51,658.16x = 3,333,065,646.48
  5. Step 5: Solve for x
    x = 3,333,065,646.48/51,658.16
  6. Step 6: Final answer
    x = 64,521.57

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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.