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Finding the Fourth Proportional to 191,779.31, 287,751.93 and 102,929.02

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Solution

The fourth proportional to 191,779.31, 287,751.93 and 102,929.02 is: 154,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,779.31 : 287,751.93 = 102,929.02 : x
  2. Step 2: Convert to fraction form
    191,779.31/287,751.93 = 102,929.02/x
  3. Step 3: Cross multiply
    191,779.31x = 287,751.93 × 102,929.02
  4. Step 4: Simplify right side
    191,779.31x = 29,618,023,438.63
  5. Step 5: Solve for x
    x = 29,618,023,438.63/191,779.31
  6. Step 6: Final answer
    x = 154,438.05

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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.