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Finding the Fourth Proportional to 58,074.64, 87,094.68 and 21,130

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Solution

The fourth proportional to 58,074.64, 87,094.68 and 21,130 is: 31,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,074.64 : 87,094.68 = 21,130 : x
  2. Step 2: Convert to fraction form
    58,074.64/87,094.68 = 21,130/x
  3. Step 3: Cross multiply
    58,074.64x = 87,094.68 × 21,130
  4. Step 4: Simplify right side
    58,074.64x = 1,840,310,588.40
  5. Step 5: Solve for x
    x = 1,840,310,588.40/58,074.64
  6. Step 6: Final answer
    x = 31,688.71

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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.