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Finding the Fourth Proportional to 133,044, 199,605.60 and 76,870.32

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Solution

The fourth proportional to 133,044, 199,605.60 and 76,870.32 is: 115,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044 : 199,605.60 = 76,870.32 : x
  2. Step 2: Convert to fraction form
    133,044/199,605.60 = 76,870.32/x
  3. Step 3: Cross multiply
    133,044x = 199,605.60 × 76,870.32
  4. Step 4: Simplify right side
    133,044x = 15,343,746,345.79
  5. Step 5: Solve for x
    x = 15,343,746,345.79/133,044
  6. Step 6: Final answer
    x = 115,328.36

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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.