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Finding the Fourth Proportional to 51,574, 77,368.38 and 19,564.84

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Solution

The fourth proportional to 51,574, 77,368.38 and 19,564.84 is: 29,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,574 : 77,368.38 = 19,564.84 : x
  2. Step 2: Convert to fraction form
    51,574/77,368.38 = 19,564.84/x
  3. Step 3: Cross multiply
    51,574x = 77,368.38 × 19,564.84
  4. Step 4: Simplify right side
    51,574x = 1,513,699,975.76
  5. Step 5: Solve for x
    x = 1,513,699,975.76/51,574
  6. Step 6: Final answer
    x = 29,350.06

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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.