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Finding the Fourth Proportional to 161,750.16, 223,208.16 and 90,138

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Solution

The fourth proportional to 161,750.16, 223,208.16 and 90,138 is: 124,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,750.16 : 223,208.16 = 90,138 : x
  2. Step 2: Convert to fraction form
    161,750.16/223,208.16 = 90,138/x
  3. Step 3: Cross multiply
    161,750.16x = 223,208.16 × 90,138
  4. Step 4: Simplify right side
    161,750.16x = 20,119,537,126.08
  5. Step 5: Solve for x
    x = 20,119,537,126.08/161,750.16
  6. Step 6: Final answer
    x = 124,386.51

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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.