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Finding the Fourth Proportional to 147,056.61, 202,948.13 and 83,398.51

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Solution

The fourth proportional to 147,056.61, 202,948.13 and 83,398.51 is: 115,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,056.61 : 202,948.13 = 83,398.51 : x
  2. Step 2: Convert to fraction form
    147,056.61/202,948.13 = 83,398.51/x
  3. Step 3: Cross multiply
    147,056.61x = 202,948.13 × 83,398.51
  4. Step 4: Simplify right side
    147,056.61x = 16,925,572,111.47
  5. Step 5: Solve for x
    x = 16,925,572,111.47/147,056.61
  6. Step 6: Final answer
    x = 115,095.62

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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.