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Finding the Fourth Proportional to 216,703.84, 299,126.64 and 148,945.60

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Solution

The fourth proportional to 216,703.84, 299,126.64 and 148,945.60 is: 205,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,703.84 : 299,126.64 = 148,945.60 : x
  2. Step 2: Convert to fraction form
    216,703.84/299,126.64 = 148,945.60/x
  3. Step 3: Cross multiply
    216,703.84x = 299,126.64 × 148,945.60
  4. Step 4: Simplify right side
    216,703.84x = 44,553,596,870.78
  5. Step 5: Solve for x
    x = 44,553,596,870.78/216,703.84
  6. Step 6: Final answer
    x = 205,596.71

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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.