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Finding the Fourth Proportional to 350,144, 525,216.64 and 87,488

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Solution

The fourth proportional to 350,144, 525,216.64 and 87,488 is: 131,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,144 : 525,216.64 = 87,488 : x
  2. Step 2: Convert to fraction form
    350,144/525,216.64 = 87,488/x
  3. Step 3: Cross multiply
    350,144x = 525,216.64 × 87,488
  4. Step 4: Simplify right side
    350,144x = 45,950,153,400.32
  5. Step 5: Solve for x
    x = 45,950,153,400.32/350,144
  6. Step 6: Final answer
    x = 131,232.16

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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.