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Finding the Fourth Proportional to 153,857.34, 212,323.32 and 84,946.86

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Solution

The fourth proportional to 153,857.34, 212,323.32 and 84,946.86 is: 117,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,857.34 : 212,323.32 = 84,946.86 : x
  2. Step 2: Convert to fraction form
    153,857.34/212,323.32 = 84,946.86/x
  3. Step 3: Cross multiply
    153,857.34x = 212,323.32 × 84,946.86
  4. Step 4: Simplify right side
    153,857.34x = 18,036,199,338.78
  5. Step 5: Solve for x
    x = 18,036,199,338.78/153,857.34
  6. Step 6: Final answer
    x = 117,226.77

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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.