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Finding the Fourth Proportional to 157,102.23, 216,802.07 and 85,482.78

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Solution

The fourth proportional to 157,102.23, 216,802.07 and 85,482.78 is: 117,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102.23 : 216,802.07 = 85,482.78 : x
  2. Step 2: Convert to fraction form
    157,102.23/216,802.07 = 85,482.78/x
  3. Step 3: Cross multiply
    157,102.23x = 216,802.07 × 85,482.78
  4. Step 4: Simplify right side
    157,102.23x = 18,532,843,225.94
  5. Step 5: Solve for x
    x = 18,532,843,225.94/157,102.23
  6. Step 6: Final answer
    x = 117,966.77

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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.