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Finding the Fourth Proportional to 77,152.61, 115,772.61 and 30,438.29

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Solution

The fourth proportional to 77,152.61, 115,772.61 and 30,438.29 is: 45,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152.61 : 115,772.61 = 30,438.29 : x
  2. Step 2: Convert to fraction form
    77,152.61/115,772.61 = 30,438.29/x
  3. Step 3: Cross multiply
    77,152.61x = 115,772.61 × 30,438.29
  4. Step 4: Simplify right side
    77,152.61x = 3,523,920,277.24
  5. Step 5: Solve for x
    x = 3,523,920,277.24/77,152.61
  6. Step 6: Final answer
    x = 45,674.67

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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.