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Finding the Fourth Proportional to 152,960.54, 211,000.47 and 142,135.82

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Solution

The fourth proportional to 152,960.54, 211,000.47 and 142,135.82 is: 196,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,960.54 : 211,000.47 = 142,135.82 : x
  2. Step 2: Convert to fraction form
    152,960.54/211,000.47 = 142,135.82/x
  3. Step 3: Cross multiply
    152,960.54x = 211,000.47 × 142,135.82
  4. Step 4: Simplify right side
    152,960.54x = 29,990,724,823.84
  5. Step 5: Solve for x
    x = 29,990,724,823.84/152,960.54
  6. Step 6: Final answer
    x = 196,068.38

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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.