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Finding the Fourth Proportional to 176,305, 243,404.74 and 107,420.45

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Solution

The fourth proportional to 176,305, 243,404.74 and 107,420.45 is: 148,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,305 : 243,404.74 = 107,420.45 : x
  2. Step 2: Convert to fraction form
    176,305/243,404.74 = 107,420.45/x
  3. Step 3: Cross multiply
    176,305x = 243,404.74 × 107,420.45
  4. Step 4: Simplify right side
    176,305x = 26,146,646,702.93
  5. Step 5: Solve for x
    x = 26,146,646,702.93/176,305
  6. Step 6: Final answer
    x = 148,303.49

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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.