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Finding the Fourth Proportional to 114,945, 172,143.90 and 58,646.76

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Solution

The fourth proportional to 114,945, 172,143.90 and 58,646.76 is: 87,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,945 : 172,143.90 = 58,646.76 : x
  2. Step 2: Convert to fraction form
    114,945/172,143.90 = 58,646.76/x
  3. Step 3: Cross multiply
    114,945x = 172,143.90 × 58,646.76
  4. Step 4: Simplify right side
    114,945x = 10,095,681,988.76
  5. Step 5: Solve for x
    x = 10,095,681,988.76/114,945
  6. Step 6: Final answer
    x = 87,830.54

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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.