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Finding the Fourth Proportional to 99,688.63, 137,578.49 and 56,681.61

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Solution

The fourth proportional to 99,688.63, 137,578.49 and 56,681.61 is: 78,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,688.63 : 137,578.49 = 56,681.61 : x
  2. Step 2: Convert to fraction form
    99,688.63/137,578.49 = 56,681.61/x
  3. Step 3: Cross multiply
    99,688.63x = 137,578.49 × 56,681.61
  4. Step 4: Simplify right side
    99,688.63x = 7,798,170,031.16
  5. Step 5: Solve for x
    x = 7,798,170,031.16/99,688.63
  6. Step 6: Final answer
    x = 78,225.27

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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.