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Finding the Fourth Proportional to 289,095.30, 433,642.95 and 102,125.70

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Solution

The fourth proportional to 289,095.30, 433,642.95 and 102,125.70 is: 153,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,095.30 : 433,642.95 = 102,125.70 : x
  2. Step 2: Convert to fraction form
    289,095.30/433,642.95 = 102,125.70/x
  3. Step 3: Cross multiply
    289,095.30x = 433,642.95 × 102,125.70
  4. Step 4: Simplify right side
    289,095.30x = 44,286,089,818.82
  5. Step 5: Solve for x
    x = 44,286,089,818.82/289,095.30
  6. Step 6: Final answer
    x = 153,188.55

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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.