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Finding the Fourth Proportional to 210,087.84, 315,332.64 and 77,096.64

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Solution

The fourth proportional to 210,087.84, 315,332.64 and 77,096.64 is: 115,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,087.84 : 315,332.64 = 77,096.64 : x
  2. Step 2: Convert to fraction form
    210,087.84/315,332.64 = 77,096.64/x
  3. Step 3: Cross multiply
    210,087.84x = 315,332.64 × 77,096.64
  4. Step 4: Simplify right side
    210,087.84x = 24,311,087,026.33
  5. Step 5: Solve for x
    x = 24,311,087,026.33/210,087.84
  6. Step 6: Final answer
    x = 115,718.68

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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.