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Finding the Fourth Proportional to 105,307.66, 145,324.64 and 57,561

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Solution

The fourth proportional to 105,307.66, 145,324.64 and 57,561 is: 79,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,307.66 : 145,324.64 = 57,561 : x
  2. Step 2: Convert to fraction form
    105,307.66/145,324.64 = 57,561/x
  3. Step 3: Cross multiply
    105,307.66x = 145,324.64 × 57,561
  4. Step 4: Simplify right side
    105,307.66x = 8,365,031,603.04
  5. Step 5: Solve for x
    x = 8,365,031,603.04/105,307.66
  6. Step 6: Final answer
    x = 79,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.