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Finding the Fourth Proportional to 219,557.64, 302,878.08 and 138,849.24

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Solution

The fourth proportional to 219,557.64, 302,878.08 and 138,849.24 is: 191,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,557.64 : 302,878.08 = 138,849.24 : x
  2. Step 2: Convert to fraction form
    219,557.64/302,878.08 = 138,849.24/x
  3. Step 3: Cross multiply
    219,557.64x = 302,878.08 × 138,849.24
  4. Step 4: Simplify right side
    219,557.64x = 42,054,391,220.66
  5. Step 5: Solve for x
    x = 42,054,391,220.66/219,557.64
  6. Step 6: Final answer
    x = 191,541.46

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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.