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Finding the Fourth Proportional to 191,779.30, 287,668.95 and 156,787.30

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Solution

The fourth proportional to 191,779.30, 287,668.95 and 156,787.30 is: 235,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,779.30 : 287,668.95 = 156,787.30 : x
  2. Step 2: Convert to fraction form
    191,779.30/287,668.95 = 156,787.30/x
  3. Step 3: Cross multiply
    191,779.30x = 287,668.95 × 156,787.30
  4. Step 4: Simplify right side
    191,779.30x = 45,102,837,964.34
  5. Step 5: Solve for x
    x = 45,102,837,964.34/191,779.30
  6. Step 6: Final answer
    x = 235,180.95

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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.