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Finding the Fourth Proportional to 87,018, 130,527.12 and 37,770

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Solution

The fourth proportional to 87,018, 130,527.12 and 37,770 is: 56,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,018 : 130,527.12 = 37,770 : x
  2. Step 2: Convert to fraction form
    87,018/130,527.12 = 37,770/x
  3. Step 3: Cross multiply
    87,018x = 130,527.12 × 37,770
  4. Step 4: Simplify right side
    87,018x = 4,930,009,322.40
  5. Step 5: Solve for x
    x = 4,930,009,322.40/87,018
  6. Step 6: Final answer
    x = 56,655.05

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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.