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Finding the Fourth Proportional to 238,838.72, 358,202.08 and 105,646.40

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Solution

The fourth proportional to 238,838.72, 358,202.08 and 105,646.40 is: 158,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,838.72 : 358,202.08 = 105,646.40 : x
  2. Step 2: Convert to fraction form
    238,838.72/358,202.08 = 105,646.40/x
  3. Step 3: Cross multiply
    238,838.72x = 358,202.08 × 105,646.40
  4. Step 4: Simplify right side
    238,838.72x = 37,842,760,224.51
  5. Step 5: Solve for x
    x = 37,842,760,224.51/238,838.72
  6. Step 6: Final answer
    x = 158,444.83

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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.