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Finding the Fourth Proportional to 170,809, 235,779.32 and 102,829.14

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Solution

The fourth proportional to 170,809, 235,779.32 and 102,829.14 is: 141,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,809 : 235,779.32 = 102,829.14 : x
  2. Step 2: Convert to fraction form
    170,809/235,779.32 = 102,829.14/x
  3. Step 3: Cross multiply
    170,809x = 235,779.32 × 102,829.14
  4. Step 4: Simplify right side
    170,809x = 24,244,984,705.38
  5. Step 5: Solve for x
    x = 24,244,984,705.38/170,809
  6. Step 6: Final answer
    x = 141,942.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.