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Finding the Fourth Proportional to 51,465.66, 77,154.12 and 19,897.86

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Solution

The fourth proportional to 51,465.66, 77,154.12 and 19,897.86 is: 29,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,465.66 : 77,154.12 = 19,897.86 : x
  2. Step 2: Convert to fraction form
    51,465.66/77,154.12 = 19,897.86/x
  3. Step 3: Cross multiply
    51,465.66x = 77,154.12 × 19,897.86
  4. Step 4: Simplify right side
    51,465.66x = 1,535,201,878.18
  5. Step 5: Solve for x
    x = 1,535,201,878.18/51,465.66
  6. Step 6: Final answer
    x = 29,829.64

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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.