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Finding the Fourth Proportional to 210,886.02, 316,332.69 and 77,697.72

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Solution

The fourth proportional to 210,886.02, 316,332.69 and 77,697.72 is: 116,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,886.02 : 316,332.69 = 77,697.72 : x
  2. Step 2: Convert to fraction form
    210,886.02/316,332.69 = 77,697.72/x
  3. Step 3: Cross multiply
    210,886.02x = 316,332.69 × 77,697.72
  4. Step 4: Simplify right side
    210,886.02x = 24,578,328,774.47
  5. Step 5: Solve for x
    x = 24,578,328,774.47/210,886.02
  6. Step 6: Final answer
    x = 116,547.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.