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Finding the Fourth Proportional to 157,140.32, 216,849.47 and 85,518.80

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Solution

The fourth proportional to 157,140.32, 216,849.47 and 85,518.80 is: 118,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,140.32 : 216,849.47 = 85,518.80 : x
  2. Step 2: Convert to fraction form
    157,140.32/216,849.47 = 85,518.80/x
  3. Step 3: Cross multiply
    157,140.32x = 216,849.47 × 85,518.80
  4. Step 4: Simplify right side
    157,140.32x = 18,544,706,455.04
  5. Step 5: Solve for x
    x = 18,544,706,455.04/157,140.32
  6. Step 6: Final answer
    x = 118,013.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.