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Finding the Fourth Proportional to 70,666.30, 105,999.45 and 31,203.10

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Solution

The fourth proportional to 70,666.30, 105,999.45 and 31,203.10 is: 46,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,666.30 : 105,999.45 = 31,203.10 : x
  2. Step 2: Convert to fraction form
    70,666.30/105,999.45 = 31,203.10/x
  3. Step 3: Cross multiply
    70,666.30x = 105,999.45 × 31,203.10
  4. Step 4: Simplify right side
    70,666.30x = 3,307,511,438.30
  5. Step 5: Solve for x
    x = 3,307,511,438.30/70,666.30
  6. Step 6: Final answer
    x = 46,804.65

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1.5x scale

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.