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Finding the Fourth Proportional to 224,656.86, 310,095.10 and 138,642.14

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Solution

The fourth proportional to 224,656.86, 310,095.10 and 138,642.14 is: 191,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,656.86 : 310,095.10 = 138,642.14 : x
  2. Step 2: Convert to fraction form
    224,656.86/310,095.10 = 138,642.14/x
  3. Step 3: Cross multiply
    224,656.86x = 310,095.10 × 138,642.14
  4. Step 4: Simplify right side
    224,656.86x = 42,992,248,267.51
  5. Step 5: Solve for x
    x = 42,992,248,267.51/224,656.86
  6. Step 6: Final answer
    x = 191,368.51

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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.