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Finding the Fourth Proportional to 101,810.21, 140,514.95 and 56,502.75

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Solution

The fourth proportional to 101,810.21, 140,514.95 and 56,502.75 is: 77,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810.21 : 140,514.95 = 56,502.75 : x
  2. Step 2: Convert to fraction form
    101,810.21/140,514.95 = 56,502.75/x
  3. Step 3: Cross multiply
    101,810.21x = 140,514.95 × 56,502.75
  4. Step 4: Simplify right side
    101,810.21x = 7,939,480,106.02
  5. Step 5: Solve for x
    x = 7,939,480,106.02/101,810.21
  6. Step 6: Final answer
    x = 77,983.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.