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Finding the Fourth Proportional to 216,026.28, 298,133.10 and 120,547.32

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Solution

The fourth proportional to 216,026.28, 298,133.10 and 120,547.32 is: 166,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,026.28 : 298,133.10 = 120,547.32 : x
  2. Step 2: Convert to fraction form
    216,026.28/298,133.10 = 120,547.32/x
  3. Step 3: Cross multiply
    216,026.28x = 298,133.10 × 120,547.32
  4. Step 4: Simplify right side
    216,026.28x = 35,939,146,208.29
  5. Step 5: Solve for x
    x = 35,939,146,208.29/216,026.28
  6. Step 6: Final answer
    x = 166,364.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.