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Finding the Fourth Proportional to 191,415, 264,148.21 and 106,530.24

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Solution

The fourth proportional to 191,415, 264,148.21 and 106,530.24 is: 147,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,415 : 264,148.21 = 106,530.24 : x
  2. Step 2: Convert to fraction form
    191,415/264,148.21 = 106,530.24/x
  3. Step 3: Cross multiply
    191,415x = 264,148.21 × 106,530.24
  4. Step 4: Simplify right side
    191,415x = 28,139,771,674.22
  5. Step 5: Solve for x
    x = 28,139,771,674.22/191,415
  6. Step 6: Final answer
    x = 147,009.23

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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.