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Finding the Fourth Proportional to 157,430.84, 217,254.69 and 85,809.42

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Solution

The fourth proportional to 157,430.84, 217,254.69 and 85,809.42 is: 118,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,430.84 : 217,254.69 = 85,809.42 : x
  2. Step 2: Convert to fraction form
    157,430.84/217,254.69 = 85,809.42/x
  3. Step 3: Cross multiply
    157,430.84x = 217,254.69 × 85,809.42
  4. Step 4: Simplify right side
    157,430.84x = 18,642,498,941.18
  5. Step 5: Solve for x
    x = 18,642,498,941.18/157,430.84
  6. Step 6: Final answer
    x = 118,417.07

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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.