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Finding the Fourth Proportional to 145,681.76, 201,026.94 and 107,462

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Solution

The fourth proportional to 145,681.76, 201,026.94 and 107,462 is: 148,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,681.76 : 201,026.94 = 107,462 : x
  2. Step 2: Convert to fraction form
    145,681.76/201,026.94 = 107,462/x
  3. Step 3: Cross multiply
    145,681.76x = 201,026.94 × 107,462
  4. Step 4: Simplify right side
    145,681.76x = 21,602,757,026.28
  5. Step 5: Solve for x
    x = 21,602,757,026.28/145,681.76
  6. Step 6: Final answer
    x = 148,287.31

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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.