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Finding the Fourth Proportional to 98,010.51, 147,015.90 and 64,940.64

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Solution

The fourth proportional to 98,010.51, 147,015.90 and 64,940.64 is: 97,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,010.51 : 147,015.90 = 64,940.64 : x
  2. Step 2: Convert to fraction form
    98,010.51/147,015.90 = 64,940.64/x
  3. Step 3: Cross multiply
    98,010.51x = 147,015.90 × 64,940.64
  4. Step 4: Simplify right side
    98,010.51x = 9,547,306,636.18
  5. Step 5: Solve for x
    x = 9,547,306,636.18/98,010.51
  6. Step 6: Final answer
    x = 97,411.05

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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.