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Finding the Fourth Proportional to 152,348.84, 210,221.70 and 85,280.84

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Solution

The fourth proportional to 152,348.84, 210,221.70 and 85,280.84 is: 117,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,348.84 : 210,221.70 = 85,280.84 : x
  2. Step 2: Convert to fraction form
    152,348.84/210,221.70 = 85,280.84/x
  3. Step 3: Cross multiply
    152,348.84x = 210,221.70 × 85,280.84
  4. Step 4: Simplify right side
    152,348.84x = 17,927,883,162.23
  5. Step 5: Solve for x
    x = 17,927,883,162.23/152,348.84
  6. Step 6: Final answer
    x = 117,676.53

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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.