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Finding the Fourth Proportional to 161,211.68, 241,448.72 and 77,031.01

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Solution

The fourth proportional to 161,211.68, 241,448.72 and 77,031.01 is: 115,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,211.68 : 241,448.72 = 77,031.01 : x
  2. Step 2: Convert to fraction form
    161,211.68/241,448.72 = 77,031.01/x
  3. Step 3: Cross multiply
    161,211.68x = 241,448.72 × 77,031.01
  4. Step 4: Simplify right side
    161,211.68x = 18,599,038,681.46
  5. Step 5: Solve for x
    x = 18,599,038,681.46/161,211.68
  6. Step 6: Final answer
    x = 115,370.29

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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.