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Finding the Fourth Proportional to 102,509.65, 153,775.41 and 43,351.30

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Solution

The fourth proportional to 102,509.65, 153,775.41 and 43,351.30 is: 65,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.65 : 153,775.41 = 43,351.30 : x
  2. Step 2: Convert to fraction form
    102,509.65/153,775.41 = 43,351.30/x
  3. Step 3: Cross multiply
    102,509.65x = 153,775.41 × 43,351.30
  4. Step 4: Simplify right side
    102,509.65x = 6,666,363,931.53
  5. Step 5: Solve for x
    x = 6,666,363,931.53/102,509.65
  6. Step 6: Final answer
    x = 65,031.57

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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.