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Finding the Fourth Proportional to 55,358.40, 83,070.42 and 51,855.76

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Solution

The fourth proportional to 55,358.40, 83,070.42 and 51,855.76 is: 77,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358.40 : 83,070.42 = 51,855.76 : x
  2. Step 2: Convert to fraction form
    55,358.40/83,070.42 = 51,855.76/x
  3. Step 3: Cross multiply
    55,358.40x = 83,070.42 × 51,855.76
  4. Step 4: Simplify right side
    55,358.40x = 4,307,679,762.62
  5. Step 5: Solve for x
    x = 4,307,679,762.62/55,358.40
  6. Step 6: Final answer
    x = 77,814.38

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1.5x scale

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.