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Finding the Fourth Proportional to 102,009.40, 153,014.10 and 86,919.10

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Solution

The fourth proportional to 102,009.40, 153,014.10 and 86,919.10 is: 130,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009.40 : 153,014.10 = 86,919.10 : x
  2. Step 2: Convert to fraction form
    102,009.40/153,014.10 = 86,919.10/x
  3. Step 3: Cross multiply
    102,009.40x = 153,014.10 × 86,919.10
  4. Step 4: Simplify right side
    102,009.40x = 13,299,847,859.31
  5. Step 5: Solve for x
    x = 13,299,847,859.31/102,009.40
  6. Step 6: Final answer
    x = 130,378.65

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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.