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Finding the Fourth Proportional to 51,798.78, 77,686.95 and 18,521.16

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Solution

The fourth proportional to 51,798.78, 77,686.95 and 18,521.16 is: 27,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.78 : 77,686.95 = 18,521.16 : x
  2. Step 2: Convert to fraction form
    51,798.78/77,686.95 = 18,521.16/x
  3. Step 3: Cross multiply
    51,798.78x = 77,686.95 × 18,521.16
  4. Step 4: Simplify right side
    51,798.78x = 1,438,852,430.86
  5. Step 5: Solve for x
    x = 1,438,852,430.86/51,798.78
  6. Step 6: Final answer
    x = 27,777.73

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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.