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Finding the Fourth Proportional to 105,159.47, 145,118.99 and 64,857.11

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Solution

The fourth proportional to 105,159.47, 145,118.99 and 64,857.11 is: 89,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.47 : 145,118.99 = 64,857.11 : x
  2. Step 2: Convert to fraction form
    105,159.47/145,118.99 = 64,857.11/x
  3. Step 3: Cross multiply
    105,159.47x = 145,118.99 × 64,857.11
  4. Step 4: Simplify right side
    105,159.47x = 9,411,997,734.07
  5. Step 5: Solve for x
    x = 9,411,997,734.07/105,159.47
  6. Step 6: Final answer
    x = 89,502.15

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1.5x scale

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.