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Finding the Fourth Proportional to 511,966.16, 767,897.36 and 138,026.96

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Solution

The fourth proportional to 511,966.16, 767,897.36 and 138,026.96 is: 207,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,966.16 : 767,897.36 = 138,026.96 : x
  2. Step 2: Convert to fraction form
    511,966.16/767,897.36 = 138,026.96/x
  3. Step 3: Cross multiply
    511,966.16x = 767,897.36 × 138,026.96
  4. Step 4: Simplify right side
    511,966.16x = 105,990,538,192.83
  5. Step 5: Solve for x
    x = 105,990,538,192.83/511,966.16
  6. Step 6: Final answer
    x = 207,026.45

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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.