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Finding the Fourth Proportional to 145,661.79, 201,012.94 and 81,999.74

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Solution

The fourth proportional to 145,661.79, 201,012.94 and 81,999.74 is: 113,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,661.79 : 201,012.94 = 81,999.74 : x
  2. Step 2: Convert to fraction form
    145,661.79/201,012.94 = 81,999.74/x
  3. Step 3: Cross multiply
    145,661.79x = 201,012.94 × 81,999.74
  4. Step 4: Simplify right side
    145,661.79x = 16,483,009,421.67
  5. Step 5: Solve for x
    x = 16,483,009,421.67/145,661.79
  6. Step 6: Final answer
    x = 113,159.46

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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.