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Finding the Fourth Proportional to 201,876.10, 302,815.30 and 52,106.15

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Solution

The fourth proportional to 201,876.10, 302,815.30 and 52,106.15 is: 78,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,876.10 : 302,815.30 = 52,106.15 : x
  2. Step 2: Convert to fraction form
    201,876.10/302,815.30 = 52,106.15/x
  3. Step 3: Cross multiply
    201,876.10x = 302,815.30 × 52,106.15
  4. Step 4: Simplify right side
    201,876.10x = 15,778,539,444.10
  5. Step 5: Solve for x
    x = 15,778,539,444.10/201,876.10
  6. Step 6: Final answer
    x = 78,159.52

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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.