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Finding the Fourth Proportional to 138,802.34, 191,547.64 and 75,139.98

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Solution

The fourth proportional to 138,802.34, 191,547.64 and 75,139.98 is: 103,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,802.34 : 191,547.64 = 75,139.98 : x
  2. Step 2: Convert to fraction form
    138,802.34/191,547.64 = 75,139.98/x
  3. Step 3: Cross multiply
    138,802.34x = 191,547.64 × 75,139.98
  4. Step 4: Simplify right side
    138,802.34x = 14,392,885,838.65
  5. Step 5: Solve for x
    x = 14,392,885,838.65/138,802.34
  6. Step 6: Final answer
    x = 103,693.39

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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.