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Finding the Fourth Proportional to 164,909.40, 227,574.06 and 89,457.72

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Solution

The fourth proportional to 164,909.40, 227,574.06 and 89,457.72 is: 123,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,909.40 : 227,574.06 = 89,457.72 : x
  2. Step 2: Convert to fraction form
    164,909.40/227,574.06 = 89,457.72/x
  3. Step 3: Cross multiply
    164,909.40x = 227,574.06 × 89,457.72
  4. Step 4: Simplify right side
    164,909.40x = 20,358,256,538.74
  5. Step 5: Solve for x
    x = 20,358,256,538.74/164,909.40
  6. Step 6: Final answer
    x = 123,451.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.