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Finding the Fourth Proportional to 228,925.49, 343,341.47 and 86,721.74

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Solution

The fourth proportional to 228,925.49, 343,341.47 and 86,721.74 is: 130,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,925.49 : 343,341.47 = 86,721.74 : x
  2. Step 2: Convert to fraction form
    228,925.49/343,341.47 = 86,721.74/x
  3. Step 3: Cross multiply
    228,925.49x = 343,341.47 × 86,721.74
  4. Step 4: Simplify right side
    228,925.49x = 29,775,168,270.63
  5. Step 5: Solve for x
    x = 29,775,168,270.63/228,925.49
  6. Step 6: Final answer
    x = 130,064.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.