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Finding the Fourth Proportional to 86,855.64, 130,345.77 and 36,970.79

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Solution

The fourth proportional to 86,855.64, 130,345.77 and 36,970.79 is: 55,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,855.64 : 130,345.77 = 36,970.79 : x
  2. Step 2: Convert to fraction form
    86,855.64/130,345.77 = 36,970.79/x
  3. Step 3: Cross multiply
    86,855.64x = 130,345.77 × 36,970.79
  4. Step 4: Simplify right side
    86,855.64x = 4,818,985,438.33
  5. Step 5: Solve for x
    x = 4,818,985,438.33/86,855.64
  6. Step 6: Final answer
    x = 55,482.70

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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.