Home / 102,100.22-153,150.34-31,985

Finding the Fourth Proportional to 102,100.22, 153,150.34 and 31,985

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Solution

The fourth proportional to 102,100.22, 153,150.34 and 31,985 is: 47,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.22 : 153,150.34 = 31,985 : x
  2. Step 2: Convert to fraction form
    102,100.22/153,150.34 = 31,985/x
  3. Step 3: Cross multiply
    102,100.22x = 153,150.34 × 31,985
  4. Step 4: Simplify right side
    102,100.22x = 4,898,513,624.90
  5. Step 5: Solve for x
    x = 4,898,513,624.90/102,100.22
  6. Step 6: Final answer
    x = 47,977.50

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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.