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Finding the Fourth Proportional to 152,899, 211,000.74 and 85,852.60

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Solution

The fourth proportional to 152,899, 211,000.74 and 85,852.60 is: 118,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,899 : 211,000.74 = 85,852.60 : x
  2. Step 2: Convert to fraction form
    152,899/211,000.74 = 85,852.60/x
  3. Step 3: Cross multiply
    152,899x = 211,000.74 × 85,852.60
  4. Step 4: Simplify right side
    152,899x = 18,114,962,130.92
  5. Step 5: Solve for x
    x = 18,114,962,130.92/152,899
  6. Step 6: Final answer
    x = 118,476.66

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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.