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Finding the Fourth Proportional to 205,368.10, 307,918.95 and 87,007.30

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Solution

The fourth proportional to 205,368.10, 307,918.95 and 87,007.30 is: 130,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368.10 : 307,918.95 = 87,007.30 : x
  2. Step 2: Convert to fraction form
    205,368.10/307,918.95 = 87,007.30/x
  3. Step 3: Cross multiply
    205,368.10x = 307,918.95 × 87,007.30
  4. Step 4: Simplify right side
    205,368.10x = 26,791,196,458.34
  5. Step 5: Solve for x
    x = 26,791,196,458.34/205,368.10
  6. Step 6: Final answer
    x = 130,454.52

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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.