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Finding the Fourth Proportional to 106,905, 147,529.26 and 64,465.32

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Solution

The fourth proportional to 106,905, 147,529.26 and 64,465.32 is: 88,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,905 : 147,529.26 = 64,465.32 : x
  2. Step 2: Convert to fraction form
    106,905/147,529.26 = 64,465.32/x
  3. Step 3: Cross multiply
    106,905x = 147,529.26 × 64,465.32
  4. Step 4: Simplify right side
    106,905x = 9,510,520,955.26
  5. Step 5: Solve for x
    x = 9,510,520,955.26/106,905
  6. Step 6: Final answer
    x = 88,962.36

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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.