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Finding the Fourth Proportional to 117,031.24, 161,503.12 and 63,316.22

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Solution

The fourth proportional to 117,031.24, 161,503.12 and 63,316.22 is: 87,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,031.24 : 161,503.12 = 63,316.22 : x
  2. Step 2: Convert to fraction form
    117,031.24/161,503.12 = 63,316.22/x
  3. Step 3: Cross multiply
    117,031.24x = 161,503.12 × 63,316.22
  4. Step 4: Simplify right side
    117,031.24x = 10,225,767,559.51
  5. Step 5: Solve for x
    x = 10,225,767,559.51/117,031.24
  6. Step 6: Final answer
    x = 87,376.39

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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.