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Finding the Fourth Proportional to 76,031.80, 104,920.74 and 42,038.08

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Solution

The fourth proportional to 76,031.80, 104,920.74 and 42,038.08 is: 58,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,031.80 : 104,920.74 = 42,038.08 : x
  2. Step 2: Convert to fraction form
    76,031.80/104,920.74 = 42,038.08/x
  3. Step 3: Cross multiply
    76,031.80x = 104,920.74 × 42,038.08
  4. Step 4: Simplify right side
    76,031.80x = 4,410,666,461.78
  5. Step 5: Solve for x
    x = 4,410,666,461.78/76,031.80
  6. Step 6: Final answer
    x = 58,010.81

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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.