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Finding the Fourth Proportional to 161,643.32, 223,051.76 and 90,030

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Solution

The fourth proportional to 161,643.32, 223,051.76 and 90,030 is: 124,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,643.32 : 223,051.76 = 90,030 : x
  2. Step 2: Convert to fraction form
    161,643.32/223,051.76 = 90,030/x
  3. Step 3: Cross multiply
    161,643.32x = 223,051.76 × 90,030
  4. Step 4: Simplify right side
    161,643.32x = 20,081,349,952.80
  5. Step 5: Solve for x
    x = 20,081,349,952.80/161,643.32
  6. Step 6: Final answer
    x = 124,232.48

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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.