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Finding the Fourth Proportional to 157,477.93, 217,317.45 and 85,857.82

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Solution

The fourth proportional to 157,477.93, 217,317.45 and 85,857.82 is: 118,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,477.93 : 217,317.45 = 85,857.82 : x
  2. Step 2: Convert to fraction form
    157,477.93/217,317.45 = 85,857.82/x
  3. Step 3: Cross multiply
    157,477.93x = 217,317.45 × 85,857.82
  4. Step 4: Simplify right side
    157,477.93x = 18,658,402,504.96
  5. Step 5: Solve for x
    x = 18,658,402,504.96/157,477.93
  6. Step 6: Final answer
    x = 118,482.65

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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.