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Finding the Fourth Proportional to 405,167.67, 607,751.96 and 105,648

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Solution

The fourth proportional to 405,167.67, 607,751.96 and 105,648 is: 158,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,167.67 : 607,751.96 = 105,648 : x
  2. Step 2: Convert to fraction form
    405,167.67/607,751.96 = 105,648/x
  3. Step 3: Cross multiply
    405,167.67x = 607,751.96 × 105,648
  4. Step 4: Simplify right side
    405,167.67x = 64,207,779,070.08
  5. Step 5: Solve for x
    x = 64,207,779,070.08/405,167.67
  6. Step 6: Final answer
    x = 158,472.12

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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.