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Finding the Fourth Proportional to 137,316.32, 205,964.22 and 42,547.23

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Solution

The fourth proportional to 137,316.32, 205,964.22 and 42,547.23 is: 63,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,316.32 : 205,964.22 = 42,547.23 : x
  2. Step 2: Convert to fraction form
    137,316.32/205,964.22 = 42,547.23/x
  3. Step 3: Cross multiply
    137,316.32x = 205,964.22 × 42,547.23
  4. Step 4: Simplify right side
    137,316.32x = 8,763,207,374.40
  5. Step 5: Solve for x
    x = 8,763,207,374.40/137,316.32
  6. Step 6: Final answer
    x = 63,817.67

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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.