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Finding the Fourth Proportional to 86,341.84, 129,479.95 and 41,316.98

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Solution

The fourth proportional to 86,341.84, 129,479.95 and 41,316.98 is: 61,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,341.84 : 129,479.95 = 41,316.98 : x
  2. Step 2: Convert to fraction form
    86,341.84/129,479.95 = 41,316.98/x
  3. Step 3: Cross multiply
    86,341.84x = 129,479.95 × 41,316.98
  4. Step 4: Simplify right side
    86,341.84x = 5,349,720,504.55
  5. Step 5: Solve for x
    x = 5,349,720,504.55/86,341.84
  6. Step 6: Final answer
    x = 61,959.77

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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.